Alexander Arhangelskii

Alexander Vladimirovich Arhangelskii (, Aleksandr Vladimirovich Arkhangelsky, born 13 March 1938 in Moscow) is a Russian mathematician. His research, comprising over 200 published papers, covers various subfields of general topology. He has done particularly important work in metrizability theory and generalized metric spaces, cardinal functions, topological function spaces and other topological groups, and special classes of topological maps. After a long and distinguished career at Moscow State University, he moved to the United States in the 1990s. In 1993 he joined the faculty of Ohio University, from which he retired in 2011.

Biography Arhangelskii was the son of Vladimir Alexandrovich Arhangelskii and Maria Pavlova Radimova, who divorced by the time he was four years old. He was raised in Moscow by his father, a former aeronautical engineer turned concert pianist who worked as an associate professor for the Moscow Conservatory. He was also close to his uncle, childless aircraft designer Alexander Arkhangelsky.

In 1954, Arhangelskii entered Moscow State University, where he became a student of Pavel Alexandrov. At the end of his first year, Arhangelskii told Alexandrov that he wanted to specialize in topology. His first student to earn a Ph.D. did so in 1965, and his second, Mitrofan Cioban, earned his in 1969.

Arhangelskii introduced the concept of a core of a locally compact space.

Selected publications

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Papers